#3.3 The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when they won in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below.Actress left parenthesis years right parenthesis31263327352627442733Actor left parenthesis years right parenthesis61393642323248383845 Use the sample data with a 0.01 significance level to test the claim that for the population of ages of Best Actresses and Best Actors, the differences have a mean less than 0 (indicating that the Best Actresses are generally younger than Best Actors). test statistic P-Value what conclusion supports the hypothesis test constuct a confidence interval that can be used for the hypothesis test what feature of confidnce interval leads to the same conclusion from the test
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
#3.3
The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when they won in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below.
Actress left parenthesis years right parenthesis
31
26
33
27
35
26
27
44
27
33
Actor left parenthesis years right parenthesis
61
39
36
42
32
32
48
38
38
45
Use the sample data with a 0.01 significance level to test the claim that for the population of ages of Best Actresses and Best Actors, the differences have a mean less than 0 (indicating that the Best Actresses are generally younger than Best Actors).
test statistic
P-Value
what conclusion supports the hypothesis test
constuct a confidence interval that can be used for the hypothesis test
what feature of confidnce interval leads to the same conclusion from the test
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